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Finding the Fourth Proportional to 8,047.96, 12,068.98 and 2,781.62

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Solution

The fourth proportional to 8,047.96, 12,068.98 and 2,781.62 is: 4,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.96 : 12,068.98 = 2,781.62 : x
  2. Step 2: Convert to fraction form
    8,047.96/12,068.98 = 2,781.62/x
  3. Step 3: Cross multiply
    8,047.96x = 12,068.98 × 2,781.62
  4. Step 4: Simplify right side
    8,047.96x = 33,571,241.89
  5. Step 5: Solve for x
    x = 33,571,241.89/8,047.96
  6. Step 6: Final answer
    x = 4,171.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.